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Finding the Fourth Proportional to 27,722.88, 41,600.80 and 10,205.01

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Solution

The fourth proportional to 27,722.88, 41,600.80 and 10,205.01 is: 15,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.88 : 41,600.80 = 10,205.01 : x
  2. Step 2: Convert to fraction form
    27,722.88/41,600.80 = 10,205.01/x
  3. Step 3: Cross multiply
    27,722.88x = 41,600.80 × 10,205.01
  4. Step 4: Simplify right side
    27,722.88x = 424,536,691.36
  5. Step 5: Solve for x
    x = 424,536,691.36/27,722.88
  6. Step 6: Final answer
    x = 15,313.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.